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2 years ago

This is my last attempt for this question. Rationalize the denominator of the following expression.

Mathematics

1 answer:

k0ka [10]2 years ago

3 0

Answer:

$\frac{\\\sqrt[3]{98}}{7}$

Step-by-step explanation:

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Which equation represents a linear function<br>a) y=-x^2<br>b)y=x^2<br>c)y=4×<br>d)y=5x^3

kobusy [5.1K]

Answer:

Step-by-step explanation:

5 0

2 years ago

What is the slope of this line? -2x + 3y =-6

valkas [14]

Answer:

Slope: 2/3

Step-by-step explanation:

You have to first write the equation into slope-intercept form...

y = mx + b

So...

-2x + 3y = -6

becomes...

3y = 2x - 6

y = 2/3x - 2

Which means...

2/3 is the slope

Hope this help :)

Let me know if there are any mistakes!!

4 0

2 years ago

If 1/2 cup of fruit cocktail contains 13g of sugar, then 1 1/4 cup of fruit cocktail contains how many grams of sugar?

Alexus [3.1K]

Answer : 32.5 g of sugar

Step-by-step explanation:

1 1/4 cup = (4+1)/4 = 5/4 cup

If 1/2 cup contains 13 g of sugar

Then 5/4 cup contains C g of sugar

C = 5/4 * 13g➗1/2 = 5*13*2g➗4 = 130g➗4 = 32.5 g of sugar

Answer : 32.5 g of sugar

<h2><em>Spymore</em></h2>

7 0

2 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

For every 14 ice cream cones you buy, you get 2 for free.how many cones will you get if you buy 56 cones

lianna [129]

Divide 56/14=4. That means that there are 4 14ns since you will get 2 for every 14 cones. Thay means that you will get 8 cones for free.

6 0

2 years ago